Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Need a solution, Hello. I need a solution for this assignment. It is for C+...

Hello. I need a solution for this assignment. It is for C++ Language: Create a BusinessPartner class that contains a first name, company name, and a telephone number. Create a Con

PADOVAN STRING, # c pragram TO count the number of occurances of the string...

# c pragram TO count the number of occurances of the string in nth padovan''s string program in java // aakash , suraj , prem sasi kumar kamaraj college program 1 : pa

Introduction to C language, Design and implement a library system that does...

Design and implement a library system that does the following: ? Takes details of a student/library users: first name, last name, other names, user ID number, and nationality. Th

C program, what will be the c program for ideal gas equation.

what will be the c program for ideal gas equation.

Padovan string, example of padovan string program

example of padovan string program

Explain the function prototype - computer programming, Explain the Function...

Explain the Function Prototype? The Functions must be declared before they are used, ANSI C provides for the new function declaration syntax called as the function prototype,

C program for count the no which you want , # include stdio.h> # include...

# include stdio.h> # include string.h> # include conio.h> void main() {           int i=0,j=0,b=0,count=0;           int a[100];           for(i=0;i

Define scope rules of c program - computer programming, Define Scope Rules ...

Define Scope Rules of C program - Computer Programming? The fundamental rule of scope is that identifiers are accessible only within the block in which they are declared and th

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd